REU Site: California State University, Fresno Research Experiences in Mathematics

加州州立大学弗雷斯诺分校数学系将在2012年和2013年夏季为8名学生举办为期8周的REU。在这两年里，两名教师导师将分别与4名学生一起工作。每年夏天的研究课题将从以下几个方面进行选择：解析函数的零点位置、保稳算子和乘子序列；打结和链接标签；有限平面上图的嵌入；以及生存分析和生存数据建模。为了使学生具备必要的工具，他们将被给予一系列与他们的研究课题相关的介绍性讲座。然后，学生将单独或以小组的形式完成指定的研究问题。参与者将被要求撰写一份适合发表的研究总结报告，并在保持越来越严格的专业标准的同时，每周进行口头报告。研究活动将辅以客座讲座、短途旅行和非正式聚会。学生们将致力于数学领域的开放性研究问题。指导教师积极参与拟议领域的研究，并在指导本科生研究项目方面拥有丰富的经验。过去的许多项目都在会议上发表了演讲，并在研究期刊上发表了文章。REU的目标是让至少一半的参与者是代表性不足的少数民族学生，因为两名教师也是全国数学科学博士研究联盟的导师，该联盟旨在促进少数民族参与数学博士课程。通过为所有参与者提供一个认识不同文化背景的研究环境，学生将有一个有意义和鼓舞人心的经验，以补充他们的本科教育。此外，REU将为所有学生提供广泛适用于科学工作场所的计算机和研究技能。

The Department of Mathematics at the California State University, Fresno (CSU Fresno) will host an eight week long REU for eight students during the summers of 2012 and 2013. During both years, two faculty mentors will be working with 4 students each. The research topics for each summer will be selected from the following: the location of zeros of analytic functions, stability preserving operators, and multiplier sequences; knot and link labelings; embeddings of graphs in finite planes; and survival analysis and modeling survival data. To equip the students with the necessary tools, they will be given a series of introductory lectures related to their research topic. Students will then work on the assigned research problems individually, as well as in groups. Participants will be required to write a summary research report suitable for publication, and will give weekly oral presentations while maintaining increasingly strict professional standards. Research activities will be complemented by guest lectures, excursions and informal gatherings. Students will be working on open research problems in mathematics. The mentoring faculty is actively involved in research in the proposed areas and has extensive experience in mentoring undergraduate research projects. Many of the past projects have led to conference presentations and publications in research journals. The REU aims to have at least half of the participants be underrepresented minority students, as two of the faculty are also mentors for the National Alliance for Doctoral Studies in the Mathematical Sciences, which promotes minority participation in doctoral programs in mathematics. By providing all participants with a research environment cognizant of different cultural backgrounds, students will have a meaningful and encouraging experience to supplement their undergraduate education. In addition, the REU will provide all students with computer and research skills, which are widely applicable in the scientific workplace.